Witt equivalence of central simple algebras with involution
(2000) Rendiconti del Circolo Matematico di Palermo, Serie II — Vol. 49, n° 2, p. 325-342 (2000)
Files
592000DLT.pdf
Restricted Access - Adobe PDF
- 141.71 KB
Details
- Authors
- Abstract
- The notion of Witt equivalence of central simple algebras with involution is introduced. It is shown that the standard invariants, i.e. the discriminant, the signature and the Clifford algebra, depend only on the Witt class of the algebra with involution. For a given field F the tensor product is used to construct a semigroup S(F) and this semigroup is shown to have properties analogous to the multiplicative properties of the Witt ring of quadratic forms over F.
- Affiliations
University College Dublin School of Mathematics
Citations
Dejaiffe, I., Lewis, D. W., & Tignol, J.-P. (2000). Witt equivalence of central simple algebras with involution. Rendiconti del Circolo Matematico di Palermo, Serie II, 49(2), 325-342. https://doi.org/10.1007/BF02904238 (Original work published 2000)